Given: SV || TU and (triangle)SVX = (triangle)UTX
Prove: VUTS is a parallelogram (In a paragraph proof)

I can write the proof my self I just don't understand what statements and reasons I would use.

Question

Given: SV || TU and (triangle)SVX = (triangle)UTX
Prove: VUTS is a parallelogram (In a paragraph proof)

I can write the proof my self I just don't understand what statements and reasons I would use.

anonymous · Answer

Here is the parallelogram

nikato · Answer

do you wanna show me what u got so far?

anonymous · Answer

sorry i dont have anything so far and i looked back in the lessons and it says nothing of how im supposed to do this

nikato · Answer

i think the best way to prove its a paralleogram is to say the two diagonals bisect each others. so do u know what the diagonals of this paraleelogram are?

anonymous · Answer

yeah, su and vt

nikato · Answer

yes. do u know how to prove that they bisect each other?

anonymous · Answer

not exactly, does it have something to do with that angle vxu = txu?

anonymous · Answer

i mean vxs = txu

nikato · Answer

no its side

nikato · Answer

so VX=XT and SX=XU
by CPCTC
and with the definition of bisector, VT bisects SU

anonymous · Answer

oh, and since vt bisects su then it is a parallelogram, right?

nikato · Answer

yup

anonymous · Answer

thanks so much

nikato · Answer

no problem